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On the inequivalence of renormalization and self-adjoint extensions for quantum singular interactions

2006/04/30 by Horacio E. Camblong, L.N. Epele, Luis N. Epele +6
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum many-body systems #gr-qc #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1016/j.physleta.2006.12.041

published as Phys.Lett.A364:458-464,2007 · 19 pages, including 2 figures. The title and abstract were changed to more accurately reflect the content. The text was rearranged into sections, with several equations and multiple paragraphs added for clarity; and a few typos were corrected. The central equations and concepts remain unchanged.

openalex publication_date 2006/12/21 · arxiv created 2007/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A unified S-matrix framework of quantum singular interactions is presented for the comparison of self-adjoint extensions and physical renormalization. For the long-range conformal interaction the two methods are not equivalent, with renormalization acting as selector of a preferred extension and regulator of the unbounded Hamiltonian.

Citations